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Size rank n

Invariants Bases Automorphisms Dimension of realization space Girth Expected dimension over ℤ

Realizability realizable in char 0 realizable in characteristic char set class birational type

Properties Simple Connected Paving Uniform Regular Binary Ternary Quaternary Graphic Transversal Series parallel Self dual Orientable Supersolvable Three lines Free realization space Realization space: smooth over ℤ Realization space: is regular scheme

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5,778 matroids, showing 1–50

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.12.9345765	3	12	192	576	✓	∅	-1	?
3.12.25931224	3	12	188	48	✓	all	2	?
3.12.25932474	3	12	188	8	✓	all but 2	3	?
3.12.25932482	3	12	189	6	✓	all	3	?
3.12.27237184	3	12	184	432	✓	all	3	?
3.12.27293331	3	12	186	12	✓	all	2	?
3.12.27293356	3	12	186	4	✓	all	4	?
3.12.27293362	3	12	187	6	✓	all	3	?
3.12.28429619	3	12	184	32	✗	all but 2	3	?
3.12.28708806	3	12	180	40	✗	all but 2	1	?
3.12.28709822	3	12	182	4	✗	all but 2	2	?
3.12.28764213	3	12	180	16	✗	all	4	?
3.12.28797771	3	12	176	32	✗	all	4	?
3.12.28799446	3	12	176	128	✗	all but 2,5	0	?
3.12.28800111	3	12	172	288	✗	all	5	?
3.12.28800358	3	12	160	46080	✗	all	6	?
3.12.30378340	3	12	186	12	✓	all	1	?
3.12.30382894	3	12	185	4	✓	all	3	?
3.12.30382899	3	12	184	6	✓	all	3	?
3.12.30382923	3	12	185	2	✓	all	2	?
3.12.30382931	3	12	184	4	✓	all	2	?
3.12.30402398	3	12	184	48	✓	all	2	?
3.12.30403141	3	12	182	12	✓	all	6	?
3.12.30403151	3	12	183	4	✓	all	3	?
3.12.30403155	3	12	181	108	✓	all	2	?
3.12.30443889	3	12	180	40	✗	all	4	?
3.12.30447883	3	12	178	4	✗	all	3	?
3.12.30447885	3	12	176	32	✗	all	0	?
3.12.30659931	3	12	183	12	✗	all	1	?
3.12.31149596	3	12	180	12	✗	all	3	?
3.12.31174682	3	12	181	4	✗	∅	-1	?
3.12.31175290	3	12	180	4	✗	all	3	?
3.12.31175300	3	12	180	2	✗	all	3	?
3.12.31175336	3	12	180	2	✗	all	3	?
3.12.31175344	3	12	181	2	✗	all	2	?
3.12.31212056	3	12	178	12	✗	all	5	?
3.12.31236021	3	12	179	12	✗	all	3	?
3.12.31236535	3	12	179	4	✗	all	2	?
3.12.31247424	3	12	179	2	✗	all but 2	1	?
3.12.31247458	3	12	178	2	✗	all	3	?
3.12.31247476	3	12	178	4	✗	all	1	?
3.12.31251200	3	12	177	12	✗	all	3	?
3.12.31251862	3	12	174	12	✗	all	3	?
3.12.31251922	3	12	177	2	✗	all	2	?
3.12.31251933	3	12	176	4	✗	all	2	?
3.12.31253124	3	12	177	4	✗	all	1	?
3.12.31253134	3	12	177	2	✗	all	2	?
3.12.31253136	3	12	176	2	✗	all	2	?
3.12.31329084	3	12	180	8	✗	all	2	?
3.12.31329946	3	12	178	8	✗	all	3	?